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2245917696 = 21031166463
BaseRepresentation
bin1000010111011101…
…1111110000000000
312210112002102212220
42011313133300000
514044423331241
61010505451040
7106440662001
oct20567376000
95715072786
102245917696
11a52842230
125281a0a80
1329a3ba8a9
141743d11a8
15d228c166
hex85ddfc00

2245917696 has 88 divisors (see below), whose sum is σ = 6530486784. Its totient is φ = 680570880.

The previous prime is 2245917691. The next prime is 2245917697. The reversal of 2245917696 is 6967195422.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245917691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 67023.

Almost surely, 22245917696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265243392).

2245917696 is an abundant number, since it is smaller than the sum of its proper divisors (4284569088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2245917696 is a wasteful number, since it uses less digits than its factorization.

2245917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66497 (or 66479 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 2245917696 is about 47391.1141038064. The cubic root of 2245917696 is about 1309.5777237707.

The spelling of 2245917696 in words is "two billion, two hundred forty-five million, nine hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 66463 132926 199389 265852 398778 531704 731093 797556 1063408 1462186 1595112 2126816 2193279 2924372 3190224 4253632 4386558 5848744 6380448 8507264 8773116 11697488 12760896 17014528 17546232 23394976 25521792 34029056 35092464 46789952 51043584 68058112 70184928 93579904 102087168 140369856 187159808 204174336 280739712 374319616 561479424 748639232 1122958848 2245917696